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Finding the Third Proportional to 305,278 and 449,088

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Solution

The third proportional to 305,278 and 449,088 is: 660,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,278 : 449,088 = 449,088 : x
  2. Step 2: Convert to fraction form
    305,278/449,088 = 449,088/x
  3. Step 3: Cross multiply
    305,278x = 449,088 × 449,088
  4. Step 4: Simplify right side
    305,278x = 201,680,031,744
  5. Step 5: Solve for x
    x = 201,680,031,744/305,278
  6. Step 6: Final answer
    x = 660,643.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.